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2 years ago

Rectangular prism has a volume of 500 in.³ and the area of the base is 25 in.² what is the height of the rectangular prism

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

3 0

Answer:

20 in

Step-by-step explanation:

Vol. = Bh where B is the area of the base and h is the height of the prism

500 = 25h

h = 20 in

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Alik [6]

Answer:

B. y = 1

Step-by-step explanation:

Answer:

the asymptote of the graph y = 1

Step-by-step explanation:

The asymptote of the graph y = 1 (Horizontal asymptote)

As you can see a line that a graph is approạching to as it heads towards infinity but it does not intersect.

Moreover, the value of y is decreasing over its domain. as you can see in the graph.

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2 years ago

Divide x^4+3x^3-2x^2+4 by x-2<br><br>which answer shows the correct synthetic division and quotient

arsen [322]

Answer:

option-A

$\frac{x^4+3x^3-2x^2+4}{x-2}=x^3+5x^2+8x+16+\frac{36}{x-2}$

Step-by-step explanation:

we are given

divisor is

$=x^4+3x^3-2x^2+4$

Dividend is

=x-2

so, we can use synthetic division

so, we can write our expression as

$\frac{x^4+3x^3-2x^2+4}{x-2}=x^3+5x^2+8x+16+\frac{36}{x-2}$

so,

option-A

5 0

3 years ago

A rectangle has one side of 8 cm. How fast is the diagonal of the rectangle changing at the instant when the other side is 6 cm

lisov135 [29]

<h2>The diagonal is increasing at 1.8 cm/minute.</h2>

Step-by-step explanation:

Let l be one side,w be other side and s be diagonal.

We have

s² = l² + w²

We have

l = 8 cm

w = 6 cm

s² = l² + w²

s² = 8² + 6²

s² = 100

s = 10 cm

Taking derivative with respect to time in s² = l² + w²

$s^2=l^2+w^2\\\\2s\frac{ds}{dt}=2l\frac{dl}{dt}+2w\frac{dw}{dt}\\\\s\frac{ds}{dt}=l\frac{dl}{dt}+w\frac{dw}{dt}\\\\\frac{dw}{dt}=3cm/min\\\\\frac{dl}{dt}=0cm/min\\\\10\frac{ds}{dt}=8\times 0+6\times 3\\\\\frac{ds}{dt}=1.8cm/min$

The diagonal is increasing at 1.8 cm/minute.

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3 years ago

what are the lower, middle and upper quartiles of this data 122, 164, 71, 98, 147, 114, 111, 98, 85, 104, 71, 77

MA_775_DIABLO [31]

71,71,77,85,98,98,104,111,114,122,147,164

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3 years ago

Read 2 more answers

Prove the following trigonometric identities

alexandr1967 [171]

Answer:

Greetings !

check the attachment above☝️ but i haven't done the second question wait a moment. thx

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2 years ago

Rectangular prism has a volume of 500 in.³ and the area of the base is 25 in.² what is the height of the rectangular prism￼

Rectangular prism has a volume of 500 in.³ and the area of the base is 25 in.² what is the height of the rectangular prism